I'm not sure if any games account for this, as they're not meant to modify the time. I'm wondering if anyone has tried setting the time and running a game, or sit at the BootROM, for 30 days to see if it triggers the same thing on restarting?
This is in partition 2, offset 5. The first value. I think there are other system settings in there as well, but I haven't tried to track down where they belong.
It might be a silly thing to bring up, but we've still got another ~64 years of time left with the stock BootROM

EDIT (2021/11/17@539)
I found that setting the time backward in any way that only affects the minute recognised will also cause the same issue. Such as setting the time from 19:06:00 to 19:05:50. The interval in seconds doesn't matter. It can be 19:05:59 going back to 19:05:00 and will be fine, but if it's 19:05:01 going back to 19:04:59, it will consider that invalid.